QUESTION 1 a) Let X₁, X2, X3,..., X₁ be a random sample of size n from population X. Suppose that X follows an exponential distribution with parameter and Y = ²₁X₁. Li=1 i) Show that y follows a chi-square distribution with 2n degrees of freedom. ii) What is the value of the sample size n, if P(Y> 20.4831) = 0.025? iii) What is the value of sample size n, if P(IY - 2n] <40) ≥ 0.025?

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